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      Question

      Pipe β€˜A’ takes 15 minutes to fill a tank. Pipe

      β€˜B’ takes 25 minutes to empty the same tank. If pipe β€˜B’ is opened 11 minutes after pipe β€˜A’, then find the total time taken to fill the tank in this manner.
      A 20 minutes Correct Answer Incorrect Answer
      B 26 minutes Correct Answer Incorrect Answer
      C 21 minutes Correct Answer Incorrect Answer
      D 27 minutes Correct Answer Incorrect Answer
      E 11 minutes Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be β€˜75’ litres {LCM (15, 25)} Efficiency of pipe β€˜A’ = (75/15) = 5 litres/minute Efficiency of pipe β€˜B’ = (75/15) = 3 litres/minute Quantity of water filled by pipe β€˜A’ in 11 minutes = 11 Γ— 5 = 55 litres Quantity of water to be filled = 75 – 55 = 20 litres Time taken by pipe β€˜A’ and β€˜B’ together to fill 20 litres of water = {20/(5 – 3)} = 10 minutes Total time taken = 11 + 10 = 21 minutes

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